Question

121. If the position x of a particle as a function of time
t is given by, x = 4t2 - 2, then the kinetic energy
of the particle with time for t>O is
(1) Decreasing
(2) Constant
(3) Increasing
(4) Unpredictable​

Answer 1

Answer:

(3) increasing as K.E is directly proportional to velocity which inturn is propotional to x and therefore to t

Explanation:

v=dx/dt

=d4t2-2/dt

=8t

K.E=1/2 mv2

=m64t2/2

=32mt2

for t greater than0

K.E increases